Question

two bodies of a and b of masses 400 kg and 900 kg respectively are kept at a distance of separation 10 m.the point in between them at which gravitational field is zero​

Answer 1

4m from the object of mass 400kg gravitational field becomes zero.

let at point O, gravitational field becomes zero.

so, gravitational field due to mass 400kg at O + gravitational field due to mass 6

900kg at O = 0

⇒G(400kg)/r² - G(900kg)/(10m - r)² = 0

⇒400/r² = 900/(10 - r)²

⇒20/r = 30/(10 - r)

⇒200 - 20r = 30r

⇒200 = 50r

⇒r = 4

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Answer 2

$\huge\bold\purple{Answer:-}$

let at point O, gravitational field becomes zero.

so, gravitational field due to mass 400kg at O + gravitational field due to mass 6

900kg at O = 0

⇒G(400kg)/r² - G(900kg)/(10m - r)² = 0

⇒400/r² = 900/(10 - r)²

⇒20/r = 30/(10 - r)

⇒200 - 20r = 30r

⇒200 = 50r

⇒r = 4